Manhattan District Attorney Cyrus Vance Jr. subpoenaed a broad range of records last month from the Port Authority of New York and New Jersey, a person familiar with the matter said, seeking information on some of the agency's highest-profile projects and correspondence among its top officials.

The subpoena, whose existence hadn't previously been disclosed, seeks correspondence among current and former authority officials and New Jersey Gov. Chris Christie's administration on topics including the rebuilding of the World...